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Vesnalui [34]
3 years ago
10

Which applies the power of a power rule properly to simplify this expression?

Mathematics
2 answers:
emmainna [20.7K]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

vodomira [7]3 years ago
6 0

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example x^{a} and raise it to another power so it becomes, (x^{a} )^{b}, We simplify by multiplying the powers together. So the simplified answer would be x^{(a*b)}.

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A large banquet room holds 288 people with each table seating 8. How
Lisa [10]

Answer:

The answer is 36

Step-by-step explanation:

  1. First you have to divide 288 by 8 and
  2. then you have to see how many times 8 will go into 2 it can't so see how many times it will go into 28 which is 3 and you will get 24
  3. then you subtract 24 from 28 and you get 4
  4. then bring down the 8 an it 48 now see how many times 8 will go into 48 which is 6 times and you get 48
  5. then you subtract 48 by 48 and you get 0 so the answer is 36
  6. HOPE THIS HELPED
3 0
3 years ago
(ANSWER FOR FREE BRAINPOINTS!) (FIRST TO ANSWER GETS BAINLIEST) The local park has a rectangular swimming pool that measures 40
iren [92.7K]

Answer:

9 yards

Step-by-step explanation:

Since both pools are similar, therefore the ratio of their length and width would be equal. That is:

Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool

Thus, we can set up a proportion as shown below:

Let the width of the new swimming pool be x.

40 : 24 = 15 : x

\frac{40}{24} = \frac{15}{x}

Cross multiply

40*x = 15*24

40x = 360

Divide both sides by 40

x = \frac{360}{40}

x = 9

The width of the new swimming that is smaller would be 9 yards.

4 0
3 years ago
Plzz help <br><br> I need help on 4, 6, and 8
Nitella [24]
4. 14-6w
6. 12h-14
8. 22a+10b

In solution it wil be

4. (9+5)-6w
6. (5h+7h) - (6+8)
8. (26a-4a) + (2b+10b)
8 0
2 years ago
The housing market in Dallas, Texas, experienced a 9.8% increase in the past year. If the median home price was $96,812 one year
JulijaS [17]

Answer:  $106,300

<u>Step-by-step explanation:</u>

A = P(1 + r)

  • A is the accrued amount (balance)
  • P is the principal (initial amount)
  • r is the rate --> convert to a decimal

Given: P = 96,812    r = 9.8% --> 0.098

A = 96,812(1 + 0.098)

   = 96,812(1.098)

   = 106,299.576

rounded to the nearest dollar is $106,300

5 0
3 years ago
How do I solve |5-3p|+9=13p+8
anastassius [24]

Answer:

p = -2/5 or 3/8

Step-by-step explanation:

|5 − 3p| + 9 = 13p + 8

|5 − 3p| = 13p − 1

If 5 − 3p is positive:

5 − 3p = 13p − 1

6 = 16p

p = 3/8

If 5 − 3p is negative:

-(5 − 3p) = 13p − 1

-5 + 3p = 13p − 1

-4 = 10p

p = -2/5

Alternatively, we can square both sides of the equation:

(5 − 3p)² = (13p − 1)²

25 − 30p + 9p² = 169p² − 26p + 1

0 = 160p² + 4p − 24

0 = 40p² + p − 6

0 = (5p + 2) (8p − 3)

p = -2/5 or 3/8

8 0
4 years ago
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